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130385948 = 227111732447
BaseRepresentation
bin1111100010110…
…00100000011100
3100002100021220012
413301120200130
5231334322243
620534342352
73142155650
oct761304034
9302307805
10130385948
1167665990
12377ba9b8
1321022364
1413460a60
15b6a7d18
hex7c5881c

130385948 has 48 divisors (see below), whose sum is σ = 286239744. Its totient is φ = 50485440.

The previous prime is 130385921. The next prime is 130385951. The reversal of 130385948 is 849583031.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52061 + ... + 54507.

It is an arithmetic number, because the mean of its divisors is an integer number (5963328).

Almost surely, 2130385948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130385948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143119872).

130385948 is an abundant number, since it is smaller than the sum of its proper divisors (155853796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130385948 is a wasteful number, since it uses less digits than its factorization.

130385948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 130385948 is about 11418.6666472054. Note that the first 4 decimals coincide. The cubic root of 130385948 is about 507.0805230875.

The spelling of 130385948 in words is "one hundred thirty million, three hundred eighty-five thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 173 308 346 692 1211 1903 2422 2447 3806 4844 4894 7612 9788 13321 17129 26642 26917 34258 53284 53834 68516 107668 188419 376838 423331 753676 846662 1693324 2963317 4656641 5926634 9313282 11853268 18626564 32596487 65192974 130385948